Eur. Phys. J. Plus (2013) 128: 123
https://doi.org/10.1140/epjp/i2013-13123-0

Regular Article

Analysis of F(R, T) gravity models through energy conditions

¹ Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
² Eurasian International Center for Theoretical Physics, Eurasian National University, 010008, Astana, Kazakhstan

^* e-mail: msharif.math@pu.edu.pk

Received: 9 July 2013
Revised: 22 August 2013
Accepted: 16 September 2013
Published online: 24 October 2013

Abstract

This paper is devoted to study the energy conditions in the F(R, T) gravity for a FRW universe with perfect fluid, where R is the Ricci scalar and T is the torsion scalar. We construct the general energy conditions in this theory and reduce them in F(R) as well as F(T) theory of gravity. Further, we assume some viable models and investigate bounds on their constant parameters to satisfy the energy condition inequalities. We plot some of the cases using present-day values of the cosmological parameters and also check the results under cosmographic analysis. It is interesting to mention here that the model F(R, T) = μR + νT satisfies the energy conditions for different ranges of the parameters as well as represents the phantom behavior of the universe.